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# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
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DE EMEND A FFONF
A P V F V
De Simmetrica Climactismo ad versus vitium asymmetriae.
Emmetrica Climactismus est species adscensus climactici: adscenluit
autem climacticum resulariter Fere expoluimus, quum utraque propoli-
ex xqualicatis pars attollitur climactice, quadratica quum quadratice, cu-
bica quum cubice, ex eo in infinitum ordine secundum oradus poresta-
cum. ec quum aliqui aequalicaris propolita numeri luntalimmetri, _ ita
disponuntur, uc quae irrationali numero concepta est magnicudo, Faciat
unam aequalicatis partem, reliquae reliquam, idque lres postulaverie itc.
ratur, omnis candem asrmmetria eraneseit, e agualitas interea manet
illibata, quum facta ab xqualibus sint requalia: quod opus, id ipsum cst
quod rocatur symmetricaclimactimus
Prosune camen alia quoque multa adrersus asymmetriam, ut pore ipld
incerdum ilomceria, varix que cransinucandarum ae qualitatum, ex iplam et
consticurioneper Z etclin edilcenda ec ordinan dae FormulX.
Desymmetrica climactismo exemplum.
DROPOnatuE A cubus =B plano in A, aequarir Z Colido. Colidi. OpOrtet
cam aequalicate alymetria expUESaTC.
Ouoniam igitur asymmerria est in planirie, quadreneur omnia, izitur A cub0. cubus
=Bplano. plano in A quad. = B plano in A quad. quad. 2, _quarur Z. Colidosolido. EF.
30 factum est quod oporcuir.
rC -ZN, aequetur V 1200.. TgiurLC + 4N - 4 9, aequabitur 1200, C5 fIT LN 12. qua
drarum radicis de qua quaeritur.
POreracaurem reduci ad (yIELKIAM PEF HISCOTOV. EG aTOV.
1C - 2N, aequetur N 1200. Isitur LC = 29, aequatur 1200. e ft L N 10. unde radix
proposica est Y 12.
Aliud.
Proponatur Acubus =~ c. B Colido- Colidi in A, aequari Z. solido. OpOr
tet eam aequalicatem alimetria expurgare.
Ouoniam igimr alymmerria est in Coliditare, per ea aurem quae proponuntur adhi
birameratheli, de per A dirisionefacta: 20
0 Xquatur a C. B Colido- Colid
Omnia ducantur cubice, a euvo cubo. cubus - 2. solido in a cobo cubum
aeguatur B Colid. Colido. Ec omnibus in A cubum ductis e rire ordinaris, A cub0- cubo.
cubus- Z Colidoz in A cubo. cubum = Z Colido. solido, - B solido solido in A cubum, aquabi
cur Z Colido. Colido. solido. Ergotactum est quod oporruit.
2C = V C 1B in LN, aequatur 6. 1C - 189 - + 9ON, aequatur 216. 8 fit L N +Z. CubUS
radivis de qua quaeritur.
C A P V F Y
Quemadmodum equationes quadraro-quadratica deprimuntur ad qua
draricas, per medium cubicarum a radice plana.
Seu de Climactica Paraplerosi.
Lguehiquinueo ae plapala  laltates quomodocunque
adtectas, ur illa tandem explicentur numero sccundum canonica ANa
ly (eospraecepta tere sutticiunt: nam etsi radises sint alymmetrx, extribe.
BUnEUL